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Scientific Calculator Trigonometry Logs & Engineering Guide

A scientific calculator performs advanced mathematical operations for engineering, physics, mathematics and chemistry problems. Trigonometric functions, logarithms, exponentials, factorial, combinations and permutations all available in one interface.

📋 How to Use This Calculator

  1. Select mode DEG (degrees) or RAD (radians) for trigonometry.
  2. Select a function sin, cos, tan, log, ln, √, x², xⁿ, etc.
  3. Enter the value and press Enter/=.
  4. For inverse functions, use the 2nd/Shift button (sin⁻¹, cos⁻¹, etc.).

📐 Formula & Working Principle

Trigonometry: sin²θ + cos²θ = 1. tan θ = sin θ/cos θ. Logarithms: log(ab) = log a + log b. ln(eˣ) = x. Quadratic: x = [−b ± √(b²−4ac)] / 2a. Factorial: n! = n×(n−1)×…×1.

💡 Worked Example

Structural engineering: Resolve a 100 N force at 30°. Fx = 100×cos30° = 86.6 N. Fy = 100×sin30° = 50 N. Physics: pH = −log[H⁺] = −log(0.001) = 3 (acidic).

❓ Frequently Asked Questions (FAQ)

Q: When should DEG vs RAD mode be used?

DEG (Degrees): geometry, navigation, everyday angles (0°to360°). RAD (Radians): calculus, physics formulas, programming math libraries. π radians = 180°.

Q: What is the difference between natural log (ln) and common log (log)?

ln = log base e (≈2.71828). log = log base 10. ln is used in calculus and exponential growth/decay formulas. log is used in decibels, pH and the Richter scale.

Q: How do you convert between polar and rectangular coordinates?

Polar (r, θ) → Rectangular (x, y): x = r×cos θ, y = r×sin θ. Rectangular → Polar: r = √(x²+y²), θ = tan⁻¹(y/x).

Q: How should significant figures be managed on a calculator?

The calculator displays maximum precision. In engineering, maintain the significant figures of your input data. Rule: the result should have no more significant figures than the least precise input.

Q: How are large factorials calculated?

Most calculators handle up to 69! exactly (70! overflows). Stirling's approximation: ln(n!) ≈ n×ln(n) − n + 0.5×ln(2πn).

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Vaibhav
Founder, TaskJunction

Why did I build this? Because Indian students and engineers should not have to pay for a scientific calculator.

In college I used a Casio fx-991ES. Good calculator. But when you are at your laptop doing an assignment or sitting in a workshop, you should not have to dig it out. This is that calculator, in your browser, free, no account needed.

Sin, cos, tan, log, ln, factorials, power functions. Everything you need for engineering math, all in one place. Works on mobile too. That is the whole point of TaskJunction.

V
Vaibhav
[email protected]